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Homotopy theory with *categories

Published 12 Dec 2016 in math.KT, math.AT, and math.OA | (1612.03782v4)

Abstract: We construct model category structures on various types of (marked) *-categories. These structures are used to present the infinity categories of (marked) *-categories obtained by inverting (marked) unitary equivalences. We use this presentation to explicitly calculate the \infty-categorical G-fixed points and G-orbits for G-equivariant (marked) *-categories.

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